Description

• Title:
  Existence of multiple solutions for a quasilinear elliptic problem
• Creator:
  Cossio, Jorge;
  Herrón, Sigifredo;
  Vélez, Carlos
• Description:
  In this paper we prove the existence of multiple solutions for a quasilinear elliptic boundary value problem, when the $p$-derivative at zero and the $p$-derivative at infinity of the nonlinearity are greater than the first eigenvalue of the $p$-Laplace operator. Our proof uses bifurcation from infinity and bifurcation from zero to prove the existence of unbounded branches of positive solutions (resp. of negative solutions). We show the existence of multiple solutions and we provide qualitative properties of these solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.10.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 50, No 2 (December 2017); 531 - 551;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.019/13091 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.019/13092
• Subject:
  Quasilinear elliptic equations;
  bifurcation theory;
  multiplicity of solutions;
  rimary;
  35B32;
  35J62;
  35J92;
  Secondary;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.019
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other